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Finding the Third Proportional to 302,020 and 422,468

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Solution

The third proportional to 302,020 and 422,468 is: 590,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,020 : 422,468 = 422,468 : x
  2. Step 2: Convert to fraction form
    302,020/422,468 = 422,468/x
  3. Step 3: Cross multiply
    302,020x = 422,468 × 422,468
  4. Step 4: Simplify right side
    302,020x = 178,479,211,024
  5. Step 5: Solve for x
    x = 178,479,211,024/302,020
  6. Step 6: Final answer
    x = 590,951.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.